<TeXmacs|1.99.4>

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  \<#95EE\>\<#FF1A\>\<#5171\>\<#6709\>\<#51E0\>\<#79CD\>\<#4E0D\>\<#540C\>\<#7684\>\<#6392\>\<#5217\>\<#65B9\>\<#6848\>\<#FF1F\>\<#FF08\>\<#4E0B\>\<#56FE\>\<#662F\>\<#5176\>\<#4E2D\>\<#4E00\>\<#4E2A\>\<#7B26\>\<#5408\>\<#8981\>\<#6C42\>\<#7684\>\<#65B9\>\<#6848\>\<#FF09\>

  \<#89E3\>\<#7B54\>\<#FF1A\> \<#56E0\>\<#4E3A\>\<#6BCF\>\<#4E00\>\<#5C42\>\<#7684\>\<#76F8\>\<#90BB\>\<#5C0F\>\<#7403\>\<#7684\>\<#989C\>\<#8272\>\<#662F\>\<#5426\>\<#4E00\>\<#6837\>\<#5C31\>\<#51B3\>\<#5B9A\>\<#4E86\>\<#4E0A\>\<#4E00\>\<#5C42\>\<#76F8\>\<#5E94\>\<#5C0F\>\<#7403\>\<#7684\>\<#989C\>\<#8272\>\<#FF0C\>\<#6240\>\<#4EE5\>\<#6574\>\<#4E2A\>\<#56FE\>\<#6848\>\<#5B8C\>\<#5168\>\<#7531\>\<#6700\>\<#5E95\>\<#5C42\>\<#7684\>\<#5C0F\>\<#7403\>\<#6392\>\<#5217\>\<#6240\>\<#51B3\>\<#5B9A\>\<#FF0C\>\<#6211\>\<#4EEC\>\<#6765\>\<#8BA8\>\<#8BBA\>\<#6700\>\<#5E95\>\<#5C42\>\<#7684\>\<#6392\>\<#5217\>\<#662F\>\<#5982\>\<#4F55\>\<#51B3\>\<#5B9A\>\<#6574\>\<#4E2A\>\<#91D1\>\<#5B57\>\<#5854\>\<#4E2D\>\<#7684\>\<#7EA2\>\<#7403\>\<#548C\>\<#84DD\>\<#7403\>\<#6570\>\<#76EE\>\<#7684\>\<#FF0C\>\<#7136\>\<#540E\>\<#7531\>\<#7ED9\>\<#5B9A\>\<#7684\>\<#6570\>\<#5B57\>15\<#548C\>21\<#770B\>\<#770B\>\<#5BF9\>\<#5E95\>\<#5C42\>\<#7684\>\<#6392\>\<#5217\>\<#6709\>\<#4EC0\>\<#4E48\>\<#9650\>\<#5236\>\<#6761\>\<#4EF6\>\<#FF0C\>\<#8FDB\>\<#800C\>\<#8BA1\>\<#7B97\>\<#7B26\>\<#5408\>\<#8FD9\>\<#9650\>\<#5236\>\<#6761\>\<#4EF6\>\<#7684\>\<#6392\>\<#5217\>\<#4E2A\>\<#6570\>\<#5C31\>\<#53EF\>\<#4EE5\>\<#4E86\>\<#3002\>

  \<#89C4\>\<#5219\>(3)\<#548C\>(4)\<#975E\>\<#5E38\>\<#7B26\>\<#5408\>1\<#548C\>-1\<#7684\>\<#4E58\>\<#6CD5\>\<#89C4\>\<#5219\>\<#FF0C\>\<#6240\>\<#4EE5\>\<#7EA6\>\<#5B9A\>\<#7528\>1\<#8868\>\<#793A\>\<#7EA2\>\<#7403\>\<#FF0C\>\<#7528\>-1\<#8868\>\<#793A\>\<#84DD\>\<#7403\>\<#FF0C\>\<#4E8E\>\<#662F\>\<#6BCF\>\<#4E00\>\<#5C42\>\<#4E2D\>\<#7684\>\<#6570\>\<#FF0C\>\<#7B49\>\<#4E8E\>\<#5B83\>\<#811A\>\<#4E0B\>\<#4E24\>\<#4E2A\>\<#6570\>\<#4E4B\>\<#4E58\>\<#79EF\>\<#3002\>\<#6211\>\<#4EEC\>\<#5047\>\<#8BBE\>\<#6700\>\<#5E95\>\<#5C42\>\<#7684\>\<#6392\>\<#5217\>\<#662F\><math|a<rsub|1>,a<rsub|2>,\<ldots\>,a<rsub|8>>\<#FF0C\><math|a<rsub|i>=1>\<#6216\><math|a<rsub|i>=-1>\<#FF0C\>\<#5E76\>\<#4E14\>\<#5176\>\<#4E2D\>\<#6709\>4\<#4E2A\>\<#4E3A\>1\<#FF0C\>\<#53E6\>\<#5916\>4\<#4E2A\>\<#4E3A\>-1\<#FF0C\>\<#90A3\>\<#4E48\>\<#5012\>\<#6570\>\<#7B2C\>\<#4E8C\>\<#5C42\>\<#7684\>\<#6570\>\<#663E\>\<#7136\>\<#5C31\>\<#662F\>

  <\equation*>
    a<rsub|1>a<rsub|2>,a<rsub|2>a<rsub|3>,\<ldots\>,a<rsub|7>a<rsub|8>
  </equation*>

  \<#800C\>\<#5012\>\<#6570\>\<#7B2C\>\<#4E09\>\<#5C42\>\<#5219\>\<#662F\>

  <\equation*>
    a<rsub|1>a<rsub|2><rsup|2>a<rsub|3>,a<rsub|2>a<rsub|3><rsup|2>a<rsub|4>,\<ldots\>,a<rsub|6>a<rsub|7><rsup|2>a<rsub|8>
  </equation*>

  \<#4F9D\>\<#6B21\>\<#4E0B\>\<#53BB\>\<#FF0C\>\<#4F1A\>\<#53D1\>\<#73B0\>\<#6BCF\>\<#4E00\>\<#5C42\>\<#4E2D\>\<#7684\>\<#6570\>\<#FF0C\>\<#90FD\>\<#662F\>\<#6700\>\<#5E95\>\<#5C42\>\<#4E2D\>\<#5404\>\<#6570\>\<#7684\>\<#4E00\>\<#4E9B\>\<#4E58\>\<#79EF\>,\<#50CF\>\<#4E0B\>\<#9762\>\<#8FD9\>\<#6837\>

  <\equation*>
    a<rsub|1><rsup|r<rsub|1>>a<rsub|2><rsup|r<rsub|2>>\<ldots\>a<rsub|8><rsup|r<rsub|8>>
  </equation*>

  \<#90A3\>\<#4E48\>\<#663E\>\<#89C1\>\<#6700\>\<#5E95\>\<#5C42\>\<#7684\>\<#5404\>\<#6570\>\<#7684\>\<#6307\>\<#6570\>\<#662F\>

  <\equation*>
    <around*|(|1<space|1em>0<space|1em>\<cdots\><space|1em>0|)>,<around*|(|0<space|1em>1<space|1em>\<cdots\><space|1em>0|)>,\<cdots\>,<around*|(|0<space|1em>0<space|1em>\<cdots\><space|1em>1|)>
  </equation*>

  \<#800C\>\<#5012\>\<#6570\>\<#7B2C\>\<#4E8C\>\<#5C42\>\<#5219\>\<#662F\>

  <\equation*>
    <around*|(|1<space|1em>1<space|1em>0<space|1em>\<cdots\><space|1em>0|)>,<around*|(|0<space|1em>1<space|1em>1<space|1em>\<cdots\><space|1em>0|)>,\<cdots\>,<around*|(|0<space|1em>0<space|1em>\<cdots\><space|1em>1<space|1em>1|)>
  </equation*>

  \<#4E3A\>\<#4E86\>\<#4FBF\>\<#4E8E\>\<#8868\>\<#793A\>\<#8FD9\>\<#4E2A\>\<#8FC7\>\<#7A0B\>\<#FF0C\>\<#6211\>\<#4EEC\>\<#628A\>\<#8FD9\>\<#4E9B\>\<#6307\>\<#6570\>\<#5199\>\<#8FDB\>\<#4E00\>\<#4E2A\>\<#77E9\>\<#9635\>\<#91CC\>\<#FF0C\>\<#5BF9\>\<#4E8E\>\<#6700\>\<#5E95\>\<#5C42\>\<#FF0C\>\<#8FD9\>\<#4E2A\>\<#77E9\>\<#9635\>

  <\equation*>
    <around*|(|<tabular|<tformat|<table|<row|<cell|1<space|1em>0<space|1em>\<cdots\><space|1em>0
    >>|<row|<cell|0<space|1em>1<space|1em>\<cdots\><space|1em>0>>|<row|<cell|\<vdots\><space|1em>\<vdots\><space|1em>\<vdots\><space|1em>\<vdots\>>>|<row|<cell|0<space|1em>0<space|1em>\<cdots\><space|1em>1>>>>>|)>
  </equation*>

  \<#5171\>\<#6709\>8\<#884C\>\<#FF0C\>\<#5012\>\<#6570\>\<#7B2C\>\<#4E8C\>\<#5C42\>\<#7684\>\<#77E9\>\<#9635\>\<#662F\>

  <\equation*>
    <around*|(|<tabular|<tformat|<table|<row|<cell|1<space|1em>1<space|1em>0<space|1em>\<cdots\><space|1em>0<space|1em>0>>|<row|<cell|0<space|1em>1<space|1em>1<space|1em>\<cdots\><space|1em>0<space|1em>0>>|<row|<cell|\<vdots\><space|1em>\<vdots\><space|1em>\<vdots\><space|1em><space|1em>\<vdots\><space|1em>\<vdots\>>>|<row|<cell|0<space|1em>0<space|1em>0<space|1em>\<cdots\><space|1em>1<space|1em>1>>>>>|)>
  </equation*>

  \<#5171\>\<#6709\>7\<#884C\>\<#FF0C\>\<#5982\>\<#6B64\>\<#8FD9\>\<#822C\>\<#FF0C\>\<#6BCF\>\<#4E00\>\<#5C42\>\<#7684\>\<#77E9\>\<#9635\>\<#90FD\>\<#5C06\>\<#6BD4\>\<#4E0B\>\<#4E00\>\<#5C42\>\<#7684\>\<#77E9\>\<#9635\>\<#884C\>\<#6570\>\<#5C11\>\<#4E00\>\<#FF0C\>\<#800C\>\<#4E14\>\<#5B83\>\<#7684\>\<#67D0\>\<#4E00\>\<#884C\>\<#FF0C\>\<#662F\>\<#7531\>\<#5B83\>\<#4E0B\>\<#9762\>\<#90A3\>\<#4E00\>\<#5C42\>\<#7684\>\<#77E9\>\<#9635\>\<#7684\>\<#5BF9\>\<#5E94\>\<#4E24\>\<#884C\>\<#4E4B\>\<#548C\>\<#FF0C\>\<#6BD4\>\<#5982\>\<#8BF4\>\<#FF0C\>\<#5012\>\<#6570\>\<#7B2C\>\<#4E09\>\<#5C42\>\<#7684\>\<#77E9\>\<#9635\>\<#7684\>\<#7B2C\>4\<#884C\>\<#FF0C\>\<#662F\>\<#5012\>\<#6570\>\<#7B2C\>\<#4E8C\>\<#5C42\>\<#7684\>\<#77E9\>\<#9635\>\<#7684\>\<#7B2C\>4\<#884C\>\<#548C\>\<#7B2C\>5\<#884C\>\<#76F8\>\<#52A0\>\<#800C\>\<#5F97\>\<#5230\>\<#7684\>\<#3002\>\<#5BB9\>\<#6613\>\<#53D1\>\<#73B0\>\<#8FD9\>\<#6837\>\<#52A0\>\<#4E0B\>\<#53BB\>\<#FF0C\>\<#8DDF\>\<#8054\>\<#7CFB\>\<#4E0A\>\<#4E8C\>\<#9879\>\<#5F0F\>\<#7CFB\>\<#6570\>\<#4E86\>\<#FF0C\>\<#6BD4\>\<#5982\>\<#8BF4\>\<#5012\>\<#6570\>\<#7B2C\>\<#4E09\>\<#5C42\>\<#7684\>\<#77E9\>\<#9635\>\<#5C31\>\<#662F\>\<#8FD9\>\<#6837\>\<#7684\>

  <\equation*>
    <around*|(|<tabular|<tformat|<table|<row|<cell|1<space|1em>2<space|1em>1<space|1em>\<cdots\><space|1em>0<space|1em>0>>|<row|<cell|0<space|1em>1<space|1em>2<space|1em>\<cdots\><space|1em>0<space|1em>0>>|<row|<cell|\<vdots\><space|1em>\<vdots\><space|1em>\<vdots\><space|1em><space|1em>\<vdots\><space|1em>\<vdots\>>>|<row|<cell|0<space|1em>0<space|1em>0<space|1em>\<cdots\><space|1em>2<space|1em>1>>>>>|)>
  </equation*>

  \<#6BCF\>\<#4E00\>\<#884C\>\<#90FD\>\<#662F\>1\<#FF0C\>2\<#FF0C\>1\<#4E0D\>\<#65AD\>\<#5411\>\<#540E\>\<#8F6E\>\<#6362\>\<#76F4\>\<#5230\>\<#89E6\>\<#5C3E\>\<#FF0C\>\<#90A3\>\<#4E48\>\<#6700\>\<#9876\>\<#5C42\>\<#7684\>\<#77E9\>\<#9635\>\<#5C31\>\<#5C06\>\<#662F\>

  <\equation*>
    <around*|(|<tabular|<tformat|<table|<row|<cell|1<space|1em>C<rsub|7><rsup|1><space|1em>C<rsub|7><rsup|2><space|1em>\<cdots\><space|1em>C<rsub|7><rsup|6><space|1em>1>>>>>|)>
  </equation*>

  \<#4E8E\>\<#662F\>\<#6700\>\<#9876\>\<#5C42\>\<#7684\>\<#6570\>\<#662F\><math|a<rsub|1><rsup|1>a<rsub|2><rsup|7>a<rsub|3><rsup|21>a<rsub|4><rsup|35>a<rsub|5><rsup|35>a<rsub|6><rsup|21>a<rsub|7><rsup|7>a<rsub|8><rsup|1>>\<#FF0C\>\<#53EF\>\<#89C1\>\<#662F\>\<#5076\>\<#6570\>\<#FF0C\>\<#6240\>\<#4EE5\>\<#6700\>\<#9876\>\<#5C42\>\<#4E00\>\<#5B9A\>\<#662F\>\<#7EA2\>\<#7403\>\<#3002\>

  \<#6240\>\<#4EE5\>\<#5012\>\<#6570\>\<#7B2C\><math|m>\<#5C42\>\<#7684\>\<#77E9\>\<#9635\>\<#4E2D\>\<#7684\>\<#975E\>\<#96F6\>\<#5143\>\<#7D20\>\<#662F\>1,<math|C<rsub|m><rsup|1>,C<rsub|m><rsup|2>,\<ldots\>,C<rsub|m><rsup|m>>\<#53CA\>\<#5176\>\<#5411\>\<#540E\>\<#8F6E\>\<#6362\>\<#FF0C\>\<#660E\>\<#786E\>\<#7684\>\<#5199\>\<#51FA\>\<#6765\>\<#5C31\>\<#662F\>

  <\equation*>
    <around*|(|<tabular|<tformat|<table|<row|<cell|1<space|1em>C<rsub|m><rsup|1><space|1em>C<rsub|m><rsup|2><space|1em>\<cdots\><space|1em>C<rsub|m><rsup|m>
    <space|2em>0<space|1em>\<cdots\><space|1em>0<space|2em>0>>|<row|<cell|0<space|2em>1<space|1em>C<rsub|m><rsup|1><space|1em>\<cdots\><space|1em>C<rsub|m><rsup|m-1><space|1em>1<space|1em>\<cdots\><space|1em>0<space|2em>0>>|<row|<cell|\<vdots\><space|2em>\<vdots\><space|1em>\<vdots\><space|1em><space|2em>\<vdots\><space|3em>\<vdots\><space|3em>\<vdots\><space|2em>\<vdots\>>>|<row|<cell|0<space|1em>0<space|1em>0<space|1em>\<cdots\><space|1em><space|2em>\<cdots\><space|1em>\<cdots\><space|3em>C<rsub|m><rsup|m-1><space|1em>1>>>>>|)>
  </equation*>

  \<#6A21\>\<#578B\>\<#5EFA\>\<#7ACB\>\<#8D77\>\<#6765\>\<#4E86\>\<#FF0C\>\<#7136\>\<#540E\>\<#63A5\>\<#4E0B\>\<#6765\>\<#662F\>\<#8BA1\>\<#7B97\>\<#91D1\>\<#5B57\>\<#5854\>\<#4E2D\>\<#6709\>\<#591A\>\<#5C11\>\<#662F\>1\<#FF0C\>\<#6709\>\<#591A\>\<#5C11\>\<#662F\>-1\<#FF0C\>\<#8FD9\>\<#4E2A\>\<#4ECE\>\<#8FD9\>\<#4E2A\>\<#6A21\>\<#578B\>\<#6765\>\<#770B\>\<#FF0C\>\<#4F3C\>\<#4E4E\>\<#5E76\>\<#4E0D\>\<#5BB9\>\<#6613\>\<#6C42\>\<#3002\>

  \;

  \;

  \;

  \;
</body>